Preheat the oven to 300 degrees F (150 degrees C). Place bread cubes on a baking pan.
Toast bread cubes in the preheated oven until dry and golden brown, about 20 minutes. Remove and let cool slightly, about 10 minutes.
Grease a 9x13-inch casserole dish with softened butter. Add bread cubes, strawberries, and cream cheese dollops randomly to the dish.
Whisk eggs, half-and-half, cream, sugar, and ginger together in a separate medium bowl. Pour egg mixture over bread and strawberries, wrap with plastic wrap, and refrigerate, 8 hours to overnight.
Remove casserole from the refrigerator 1 hour before baking.
Preheat the oven to 350 degrees F (175 degrees C).
Make the streusel topping by mixing sugar, flour, butter, and ginger with a fork until moist crumbs form.
Bake in the preheated oven until set, about 30 minutes. Sprinkle streusel on top. Continue baking until top is golden, about 30 minutes more. Let rest for 10 minutes before serving.